On the Study and Difficulties of Mathematics (Dover Books on Mathematics)

by Augustus De Morgan (Author), Mathematics (Author)

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ISBN-13: 978-0486442709

ISBN-10: 0486442705

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One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks.
Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

On the Study and Difficulties of Mathematics (Dover Books on Mathematics)

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Product Details

Series: Dover Books on Mathematics
Hardcover: 304 pages
Publisher: Dover Publications (April 1, 2005)
Language: English
ISBN-10: 0486442705
ISBN-13: 978-0486442709
Product Dimensions: 8.6 x 6.1 x 0.8 inches
Shipping Weight: 1 pounds (View shipping rates and policies)
Average Customer Review: Be the first to review this item
Amazon Best Sellers Rank: #3,481,801 in Books (See Top 100 in Books)
- #1587 in Books > Science & Math > Mathematics > Pure Mathematics > Logic
- #2059 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry
- #2115 in Books > Science & Math > Mathematics > Study & Teaching

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